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Finding the Third Proportional to 13,380,102 and 21,266,433

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Solution

The third proportional to 13,380,102 and 21,266,433 is: 33,801,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380,102 : 21,266,433 = 21,266,433 : x
  2. Step 2: Convert to fraction form
    13,380,102/21,266,433 = 21,266,433/x
  3. Step 3: Cross multiply
    13,380,102x = 21,266,433 × 21,266,433
  4. Step 4: Simplify right side
    13,380,102x = 452,261,172,543,489
  5. Step 5: Solve for x
    x = 452,261,172,543,489/13,380,102
  6. Step 6: Final answer
    x = 33,801,025.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.